Sourav Sarkar

collaborators

3 papers

math.CO2025

On the Vietoris-Rips Complexes of Integer Lattices

Raju Kumar Gupta, Sourav Sarkar, Samir Shukla

For a metric space $X$ and $r \geq 0$ , the Vietoris-Rips complex $V R (X; r)$ is a simplicial complex whose simplices are finite subsets of $X$ with diameter at most $r$ . Vi…

math.CO2025

Normal $4$ -pseudomanifolds with a relative 2-skeleton

Biplab Basak, Mangaldeep Saha, Sourav Sarkar

The study of face-number-related invariants in simplicial complexes is a central topic in combinatorial topology. Among these, the invariant $g_{2}$ plays a significant role. For a n…

math.GT2025

Embeddings of edge-colored dual graphs of balanced 3- and 4-manifolds

Biplab Basak, Sourav Sarkar

This article focuses on a class of properly edge-colored graphs, which arise from topological combinatorics, and investigates their embeddings onto surfaces. Specifically, these gr…

On the Vietoris-Rips Complexes of Integer Lattices

Normal 4-pseudomanifolds with a relative 2-skeleton

Embeddings of edge-colored dual graphs of balanced 3- and 4-manifolds

Normal $4$ -pseudomanifolds with a relative 2-skeleton